Problem 3: x(1) y(t) H. Please consider a black box continuous time system. When the input signal is unit step, u(1), the out of this system is given by (1-e")u(t). (a) Find the impulse response h(t) of this system.

Q: 2) The forward path transfer function is given by G(s) expression for unit step response of the…

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Q: 1, The circuit diagram of the system is shown in figure. The initial conditions of the…

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Q: Y(s) 9s2+s+10 T(s) R(s) (s+1)(s²+2s+10)

A: In this question we need to find a y(t) and steady state error of the given system.

Q: The input to an LTI system is æ [n] = u [n]and the corresponding output is y [n] = ()“*u [n+ 1].…

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Q: 4. An LTI system is formed by connecting two LTI systems (system 1 and system 2) in parallel. Let…

A: Given: Two LTI systems having impulse responses h1(t) and h2(t) are connected in parallel.  To do:…

Q: b) A continuous-time system with frequency response H (w) is called frequency-flat if the mag-…

A: b(i) taking the Fourier transform  H1(w)=e-jwτ  So |H(je)|=1  So clearly the |H(jw)| is constant for…

Q: 5. A causal LTI system accepts the input x(t) = e'u(t) to produce the output %3D y(t) = (3e¬2t –…

A: According to the question we need to determine impulse response, describe differential equation and…

Q: (a) Consider a system with impulse response given by h(t) = 3 x {u(t) – u(t – 2)}. An input signal…

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Q: When the unit step function is applied to the system input given the block diagram below, the output…

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Q: Suppose we have a system modeled as an undamped harmonic oscillator. The system receives an impulse…

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Q: Feedback and Control Systems Determine the solution of the following differential equations using…

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Q: P 5.1: In the following: 1 25 (a) G(s)= (b) G(s) = 2s2 +3 s+1 16s2 +24s +25 (i) Determine , w, and K…

A: As per Bartleby policy we can answer only one part at a time so I am solving A part, repost it for…

Q: A causal, LTID system is described by the impulse response: h[n] = {2,2, –2,–2} i) Find the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The mathematical models of some continuous time systems are given above. x(t) is the input signal of…

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…

Q: If the roots of the characteristics equation z=0.53474t0.5543 rad and sampling time%3D0.5sec., the…

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Q: (s +3)(s + 4) The response of the system is given by Y(s) S(s + 2)(25 + 1) Find the initial value of…

A: Given, Response of a system Ys=s+3s+4ss+22s+1

Q: 2.2 Find the response of the following system to the input x(t) = e3*- 3s+1 F(s) = %3D s2+2s+5…

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Q: Q1 The following differential equation describes a water tank system d 1 1/ h (1) + / 72 h(t) = — /…

A: 1)  Given : Differential equation describing a water tank system d) To derive the output in Laplace…

Q: A system has the following transfer function: 2s3 + 16s? + 73s + 146 H(s) = (s +3)(s² + 4s + 20) (a)…

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Q: Problem 2: Consider two discrete-time systems with the following impulse responses: h, [n] = 8[n] –…

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Q: Problem Group 1: underline locates n = 0 value. Find the output sequence y(n) = z(n) • h(n) with the…

A: given h(n) ,and x(n)

Q: S3) For the discrete time system given below, perform the operations below: y[n] = 0.5y[n – 1] +…

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Q: A system is described by the following differential equation. d²y(t) , dy(t) _ dx(t) ·+ 2x(t) dt dt2…

A: Control systems are represented by transfer function. This can be written in both time domain and…

Q: 2) The forward path transfer function is given by G(s) = 9/s(s+8). Obtain an expression for unit…

A: From the unit step response

Q: Homework 4 It is known that the differential equation of the system is d'y(t) +4 di dy(t) +3y(t) =…

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Q: ! Required information A discrete-time system is described by the difference equation y[n] – 0.85y[n…

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Q: The process transfer function between the input, m, and output, y, is given by, y(s) = 5 -m (s) 48 s…

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Q: You have the transient response of a closed-loop system as shown in the figure, the entry being a…

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Q: A discrete time signal is given by: x(n) = [2, 2, 2, 2, 3] Sketch the following signals : x(n)…

A: Given: A discrete time signal is x[n] = {2, 2, 2, 2, 3} To sketch : x[n] u[n-1]

Q: Q4:B. Consider a continuous-time LTI system for which the input x(t) and output y(t) are related by…

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Q: Question 5. A continuous-time, LTI system has the impulse response shown below. h(t) 7/2 -1 (1)r* If…

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Q: A DSP system is described by the following differential equation with zero initial condition:…

A: Impulse response is the system output when it present with a very short input signal is called…

Q: 3. Compute and plot the output y(t) of the following continuous-time LTI system with impulse…

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Q: A continuous-time system represented by a differential equation y"(t) +6y'(t)+8y(t)=x(t) with the…

A: A linear time-invariant system can be represented using a differential equation. The second-order…

Q: The impulse response of a discrete system is given by h(n)= {1, 2, -1}, Find its output for an input…

A: given convolution problem

Q: EXERCISE Check the causality & stability of the systems represented by the following impulse…

A: As per guidelines we are supposed  to do the first question if multiple questions are posted by the…

Q: c) A continuous-time system is given by the differential equation, d²y(t) + 5 dt dy(t) + 6y(t) dx(t)…

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Q: 1.Given that a particular continuous-time LTI system has the input x(t) and the impulse response…

A: Convolution theorem:  The convolution of two signal xt and ht is denoted as yt and it's given by:…

Q: 252 +, Suppose, v;(t) = (1+e¬t+ cos(t))u(t). Find the total response and split this response into: •…

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Q: 3. Consider a continuous-time LTI system described by 1 1+T/2 = ÷S"* :Sx(7)dr T-T/2 y(1) = T{x(1)}…

A: a) y(t)=1T∫t-T/2t+T/2xτdτ

Q: 3.9 Consider the following impulse responses: hi(1) = [(2/3)e 2 +(1/3)e']u(t), h3(t) =-(2/3)e-2"…

A: As per the guidelines of Bartley we supposed to answer first three subpart only for solution of…

Q: The unit impulse response of a time-invariant, linear, continuous-time causal system, 9(t) = t %3D…

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Q: 3: a) Consider a closed-loop transfer function is: Y(s) R(s) s +a,s+a, From its below response to a…

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Q: 2.52. The step response s(f) of a continuous-time LTI system is given by s(t) = [cos w,t]u(1) Find…

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Q: The impulse response of a continuous-time LTI system is given by h(t) = u(t) −u(t − 5) where u(t) is…

A: The impulse response of a continuous-time LTI system  h(t) = u(t) −u(t − 5) where u(t)  the unit…

Q: 4. Consider the IVP given below, which models "damped harmonic motion." 13 y"+y+y = cos(wt), y(0) =…

A: Consider the IVP given below: y''+y'+134y=cos(ωt) , y(0)=0, y'(0)=1 a) We need to find the transfer…

Q: Consider the continuous-time system described by the input-output relationship: t+1 y(t) = x(t) dt…

A: As per our policy we can provide solution of first three question only. For a) Step 1: Check system…

Q: 7. (a) The input and impulse response of an LTI system are denoted by x(t) and h(t), respectively,…

A: According to the question, we need to calculate the output y(t) by the graphical method of the…

Q: A causal linear time-invariant (LTI) system with impulse response h(t) has the following properties:…

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Q: Consider a linear time-invariant system with transfer function 1. H(s) = (s+1) If the input is…

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Antenna Characteristics

The antenna is an important concept in the domain of electronics and communication engineering. An antenna forms an integral part of many commonly used devices such as wireless modems, routers, game controllers, mobile phones, bluetooth devices, and so on. In simple terms, any wireless communication makes use of antennas to serve the purpose. An antenna, also known by the term 'arial', is an electrical device that converts electrical signals into electromagnetic waves or electromagnetic waves into electrical signals. An antenna contains a transmission line usually made up of co-axial cable, it then receives the signals and converts them into electromagnetic waves, which are then transmitted via space into their required destination. A communication system essentially makes use of two antennas, a transmission antenna, which converts electrical signals into electromagnetic waves, and a receiving antenna, which receives the electromagnetic waves and converts them back into electrical signals.